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63968364 = 223219412281
BaseRepresentation
bin1111010000000…
…1010001101100
311110100221002200
43310001101230
5112333441424
610203021500
71404502455
oct364012154
9143327080
1063968364
1133121419
121950a890
1310339305
1486d212c
1559388c9
hex3d0146c

63968364 has 72 divisors (see below), whose sum is σ = 174436080. Its totient is φ = 19699200.

The previous prime is 63968347. The next prime is 63968369. The reversal of 63968364 is 46386936.

63968364 is a `hidden beast` number, since 639 + 6 + 8 + 3 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (63968369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26904 + ... + 29184.

Almost surely, 263968364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63968364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218040).

63968364 is an abundant number, since it is smaller than the sum of its proper divisors (110467716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63968364 is a wasteful number, since it uses less digits than its factorization.

63968364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2346 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 63968364 is about 7998.0225055947. The cubic root of 63968364 is about 399.9340808039.

The spelling of 63968364 in words is "sixty-three million, nine hundred sixty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2281 2337 3116 4562 4674 6843 7011 9124 9348 13686 14022 20529 27372 28044 41058 43339 82116 86678 93521 130017 173356 187042 260034 280563 374084 390051 520068 561126 780102 841689 1122252 1560204 1683378 1776899 3366756 3553798 5330697 7107596 10661394 15992091 21322788 31984182 63968364